Constructing Dot Diagram

Constructing Dot Diagram

Secondary 2

The table below shows the marks obtained by \(20\) students in a mathematics test.

\(14\)

\(9\)

\(8\)

\(13\)

\(10\)

\(7\)

\(13\)

\(11\)

\(10\)

\(13\)

\(8\)

\(12\)

\(9\)

\(9\)

\(15\)

\(1\)

\(14\)

\(7\)

\(8\)

\(9\)

  1. Represent the data on a dot diagram.
  2. Briefly describe the distribution of the data.
  3. A student is selected at random. The probability that the student obtains at most \(x\) marks is \(\frac{3}{5}\). Find the values of \(x\).

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Answer:(a) Dot counts: \(1:1,\ 7:2,\ 8:3,\ 9:4,\ 10:2,\ 11:1,\ 12:1,\ 13:3,\ 14:2,\ 15:1\) (b) Range \(1\) to \(15\), cluster from \(7\) to \(15\), outlier \(1\), mode \(9\) (c) \(x=10\) marks

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